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It is a blue-yellow vertical bicolour. The coat of arms is shifted to the top.
Source: this online catalogue, information confirmed by Mr. Michael Kirk from Delligsen Central Services Department
Klaus-Michael Schneider, 13 Sep 2017

Coat of Arms

Shield quartered, 1st quarter Sable a fir and a glassblower Argent, 2nd quarter Or hammer and mallet Azure in Saltire, 3rd quarter Or with with triplemount Vert in base crowned by a tower Gules, 4th quarter Azure a lion rampant Or.
Meaning:
In 1974 the municipalities of Ammensen, Grünenplan, Hohenbüchen, Kaierde and Varrigsen were incorporated into Delligsen. The 1st quarter is representing Grünenplan, symbolising the woods full of firs around the village and glassblowing, which was made since more than 800 years. Hammer and mallet are representing Delligsen proper and they are symbolising mining. The main business line there had been mining and metallurgical processing of iron ore. Duke Carl of Braunschweig established the Carlshütte ironworks in 1734. The tower on the triplemount is representing Hohenbüchen and alluding to a former castle of the Lords of Hohenbüchen. The lion and the colours blue and yellow in the 4th quarter are alluding to the Dukes of the Welfen kin, the former rulers of all the six so called Hils-villages (Hils is a smaller mountain ridge in Lower Saxony).
The arms were approved in 1977.
Sources: municipal webpageKlaus-Michael Schneider, 13 Sep 2017

Former Coat of Arms

Shield Or, a crampet Azure charged with a crowned lion rampant Or, in dexter chief a crowned blue initial "C", in sinister chief hammer and mallet Azure in saltire.
Meaning:
The lion is reminding on the Lords of Delligsen-Hohenbüchen, former rulers until 1355, when the Lords of Homburg overtook the village. The crowned initial had been the trade mark of Carlshütte ironworks, established in 1734 by the Welfen Dukes. Hammer and mallet are the symbols of mining, which was a local business line already since 1691.
Sources: Stadler 1970, p.33 and municipal webpageKlaus-Michael Schneider, 13 Sep 2017